This is probably part of why I tend to avoid watching Christian TV stations, especially shows like Jack Van Impe. They're mostly premillennial dispensationalists, which I think makes no sense. I tend to hold to an amillennial view as well, since it makes the most sense. As a side, I personally believe that there will never be a third temple, much less a fourth or 5th. If that idea was so important, then why is it never mentioned by Peter, who was one of the Twelve, and later on Paul?
The Temple standing when Jesus was here was destroyed, just as it said it would be, in 70 AD. To sweep that under the rug and say it's not significant at all and to look for some yet-to-come fulfillment is to completely miss the point of the Olivet Discourse. The end of that age (Temple sacrifices and the Levitical Priesthood) was winding down. Even more telling is the veil in the Temple being torn in two.
I think books like the Left Behind series is just bad eschatology, and I believe the Third Temple, the one not built by human hands, is the Church, and Jewish believers who have come to know Jesus as Messiah.